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Default What formula should I use to extract multiple data from one column

I have a spreadsheet that requires pulling three different criteria from the
same column and summing the result; however, I have four possibilities. I
have created the following formula, which works, but it seems long and
cumbersome. Is there something else like SUMPRODUCT? Thank you!

=SUMIF(D8:D15,"A",E8:E16)+SUMIF(D8:D15,"D",E8:E15) +SUMIF(D8:D15,"C",E8:E16)
 
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